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Approximation of the Lagrange and Markov spectra

math.DS · 2019-08-10 · conditional · novelty 7.0

A new graph-based algorithm approximates the Lagrange and Markov spectra on bounded intervals with Hausdorff error 1/Q in time O(Q^{3d}), where d is the Hausdorff dimension of a related continued fraction Cantor set.

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  • Approximation of the Lagrange and Markov spectra math.DS · 2019-08-10 · conditional · none · ref 5

    A new graph-based algorithm approximates the Lagrange and Markov spectra on bounded intervals with Hausdorff error 1/Q in time O(Q^{3d}), where d is the Hausdorff dimension of a related continued fraction Cantor set.